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Finding the Fourth Proportional to 3,427.54, 5,141.00 and 1,671.86

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Solution

The fourth proportional to 3,427.54, 5,141.00 and 1,671.86 is: 2,507.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,427.54 : 5,141.00 = 1,671.86 : x
  2. Step 2: Convert to fraction form
    3,427.54/5,141.00 = 1,671.86/x
  3. Step 3: Cross multiply
    3,427.54x = 5,141.00 × 1,671.86
  4. Step 4: Simplify right side
    3,427.54x = 8,595,049.29
  5. Step 5: Solve for x
    x = 8,595,049.29/3,427.54
  6. Step 6: Final answer
    x = 2,507.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.